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Phase Transitions and Crystal Symmetry

  • Book
  • © 1990

Overview

Authors:
  1. Yu. A. Izyumov

    1. Institute of Metal Physics, Ural Division of the U.S.S.R. Academy of Sciences, Sverdlovsk, USSR

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  2. V. N. Syromyatnikov

    1. Institute of Metal Physics, Ural Division of the U.S.S.R. Academy of Sciences, Sverdlovsk, USSR

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Part of the book series: Fundamental Theories of Physics (FTPH, volume 38)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. Introduction to Phenomenological Phase Transition Theory

    • Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 1-18

  3. Physical Realization of the Order Parameters at a Microscopic Level of Description

    • Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 19-51

  4. Symmetry Change at Phase Transitions

    • Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 52-99

  5. Analysis of the Thermodynamic Potential

    • Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 100-130

  6. Phase Diagrams in the Space of Thermodynamic Potential Parameters

    • Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 131-187

  7. Macroscopic Order Parameters

    • Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 188-214

  8. Phase Transitions in an External Field

    • Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 215-249

  9. Martensite Transformations

    • Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 250-300

  10. Incommensurate Periodicity Phases

    • Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 301-357

  11. Color Symmetry and its Role in Phase Transition Theory

    • Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 358-403

  12. Fluctuations and Symmetry

    • Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 404-438

  13. Back Matter

    Pages 439-443
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Keywords

About this book

About half a century ago Landau formulated the central principles of the phe­ nomenological second-order phase transition theory which is based on the idea of spontaneous symmetry breaking at phase transition. By means of this ap­ proach it has been possible to treat phase transitions of different nature in altogether distinct systems from a unified viewpoint, to embrace the aforemen­ tioned transitions by a unified body of mathematics and to show that, in a certain sense, physical systems in the vicinity of second-order phase transitions exhibit universal behavior. For several decades the Landau method has been extensively used to an­ alyze specific phase transitions in systems and has been providing a basis for interpreting experimental data on the behavior of physical characteristics near the phase transition, including the behavior of these characteristics in systems subject to various external effects such as pressure, electric and magnetic fields, deformation, etc. The symmetry aspects of Landau's theory are perhaps most effective in analyzing phase transitions in crystals because the relevant body of mathemat­ ics for this symmetry, namely, the crystal space group representation, has been worked out in great detail. Since particular phase transitions in crystals often call for a subtle symmetry analysis, the Landau method has been continually refined and developed over the past ten or fifteen years.

Authors and Affiliations

  • Institute of Metal Physics, Ural Division of the U.S.S.R. Academy of Sciences, Sverdlovsk, USSR

    Yu. A. Izyumov, V. N. Syromyatnikov

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